 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-3/4a/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

On the boundary the integral is

\int_{- π}^{π} θ d y

. Integration by parts has zero endpoint term and leaves

- \int_{- π}^{π} y d θ = - \int_{- π}^{π} (1 + cos θ) sin θ d θ = 0.

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